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Finding the Fourth Proportional to 9,283.24, 12,823.14 and 6,921.28

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Solution

The fourth proportional to 9,283.24, 12,823.14 and 6,921.28 is: 9,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.24 : 12,823.14 = 6,921.28 : x
  2. Step 2: Convert to fraction form
    9,283.24/12,823.14 = 6,921.28/x
  3. Step 3: Cross multiply
    9,283.24x = 12,823.14 × 6,921.28
  4. Step 4: Simplify right side
    9,283.24x = 88,752,542.42
  5. Step 5: Solve for x
    x = 88,752,542.42/9,283.24
  6. Step 6: Final answer
    x = 9,560.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.